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Ramsey Numbers for Matroids

✍ Scribed by Talmage James Reid


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
233 KB
Volume
18
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


Tripartite Ramsey numbers for paths
✍ AndrΓ‘s GyΓ‘rfΓ‘s; MiklΓ³s RuszinkΓ³; GΓ‘bor N. SΓ‘rkΓΆzy; Endre SzemerΓ©di πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

## Abstract In this article, we study the tripartite Ramsey numbers of paths. We show that in any two‐coloring of the edges of the complete tripartite graph __K__(__n__, __n__, __n__) there is a monochromatic path of length (1 βˆ’ __o__(1))2__n__. Since __R__(__P__~2__n__+1~,__P__~2__n__+1~)=3__n__,

Irredundant ramsey numbers for graphs
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For n = 1, 2, . . . , let 6, = K2+ K,,. We pose the problem of determining the Ramsey numbers r(&, B,) and demonstrate that in many cases critical colorings are available from known examples of strongly regular graphs.

Planar Ramsey Numbers
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The planar Ramsey number \(P R(k, l)(k, l \geqslant 2)\) is the smallest integer \(n\) such that any planar graph on \(n\) vertices contains either a complete graph on \(k\) vertices or an independent set of size \(l\). We find exact values of \(P R(k, l)\) for all \(k\) and \(l\). Included is a pro

CO-irredundant Ramsey numbers for graphs
✍ E. J. Cockayne; G. MacGillivray; J. Simmons πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 2 views
Constrained Ramsey numbers for rainbow m
✍ Allan Siu Lun Lo πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 77 KB

The Ramsey number R k (G) of a graph G is the minimum number N, such that any edge coloring of K N with k colors contains a monochromatic copy of G. The constrained Ramsey number f (G, T ) of the graphs G and T is the minimum number N, such that any edge coloring of K N with any number of colors con